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The Gelfand–Shilov Type Estimate for Green’s Function of the Bounded Solutions Problem

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Abstract

An analogue of the Gelfand–Shilov estimate of the matrix exponential is proved for Green’s function of the problem of bounded solutions of the ordinary differential equation \(x'(t)-Ax(t)=f(t)\).

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Authors and Affiliations

  1. Department of Mathematical Physics, Voronezh State University, 1, Universitetskaya Square, Voronezh, Russia, 394018

    V. G. Kurbatov

  2. Department of Software Development and Information Systems Administration, Voronezh State University, 1, Universitetskaya Square, Voronezh, Russia, 394018

    I. V. Kurbatova

Authors
  1. V. G. Kurbatov
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  2. I. V. Kurbatova
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Correspondence to V. G. Kurbatov.

Additional information

V. G. Kurbatov was supported by the Ministry of Education and Science of the Russian Federation under state order No. 3.1761.2017/4.6.

I. V. Kurbatova was supported by the Russian Foundation for Basic Research under research Project No. 16-01-00197.

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Kurbatov, V.G., Kurbatova, I.V. The Gelfand–Shilov Type Estimate for Green’s Function of the Bounded Solutions Problem. Qual. Theory Dyn. Syst. 17, 619–629 (2018). https://doi.org/10.1007/s12346-017-0262-z

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  • DOI: https://doi.org/10.1007/s12346-017-0262-z

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